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Simplifying 4(x + -1) + 2(x + 2) = 3(x + 4) Reorder the terms: 4(-1 + x) + 2(x + 2) = 3(x + 4) (-1 * 4 + x * 4) + 2(x + 2) = 3(x + 4) (-4 + 4x) + 2(x + 2) = 3(x + 4) Reorder the terms: -4 + 4x + 2(2 + x) = 3(x + 4) -4 + 4x + (2 * 2 + x * 2) = 3(x + 4) -4 + 4x + (4 + 2x) = 3(x + 4) Reorder the terms: -4 + 4 + 4x + 2x = 3(x + 4) Combine like terms: -4 + 4 = 0 0 + 4x + 2x = 3(x + 4) 4x + 2x = 3(x + 4) Combine like terms: 4x + 2x = 6x 6x = 3(x + 4) Reorder the terms: 6x = 3(4 + x) 6x = (4 * 3 + x * 3) 6x = (12 + 3x) Solving 6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 3x = 12 + 0 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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